Finding the Fourth Proportional to 1,706.73, 2,559.34 and 782.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.73 : 2,559.34 = 782.87 : x
2. Step 2: Convert to fraction form
   1,706.73/2,559.34 = 782.87/x
3. Step 3: Cross multiply
   1,706.73x = 2,559.34 × 782.87
4. Step 4: Simplify right side
   1,706.73x = 2,003,630.51
5. Step 5: Solve for x
   x = 2,003,630.51/1,706.73
6. Step 6: Final answer
   x = 1,173.96